11.–/5 points CLPhys1 11.P.055. Ask Your Teacher My Notes Question Part Points S
ID: 1574791 • Letter: 1
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11.–/5 points CLPhys1 11.P.055. Ask Your Teacher My Notes Question Part Points Submissions Used Two Blocks on a Pulley In Fig. 11-36, one block has a mass M = 500 g, the other has mass m = 460 g, and the pulley, which is mounted in horizontal frictionless bearings, has a radius of 5.00 cm. When released from rest, the heavier block falls 81.3 cm in 2.59 s (without the cord slipping on the pulley). Figure 11-36
(a) What is the magnitude of the block's acceleration? m/s2
(b) What is the tension in the part of the cord that supports the heavier block? N
(c) What is the tension in the part of the cord that supports the lighter block? N
(d) What is the magnitude of the pulley's angular acceleration? rad/s2
(e) What is its rotational inertia? kg·m2
nmExplanation / Answer
a) let a is acceleration of the blocks.
use, y = (1/2)*a*t^2
a = 2*y/t^2
= 2*0.813/2.59^2
= 0.242 m/s^2
b) TM = M*(g - a)
= 0.5*(9.8 - 0.242)
= 4.78 N
c) Tm = m*(g + a)
= 0.46*(9.8 + 0.242)
= 4.619 N
d) alfa = a/r
= 0.242/0.05
= 4.84 rad/s^2
e) net torque on pulley = I*alfa
(TM - Tm)*r = I*alfa
==> I = (TM - Tm)*r/alfa
= ( 4.78 - 4.619)*0.05/4.84
= 1.66*10^-3 kg.m^2
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